Question

sum of the ages of x and y is 55 years if the ratio of their ages is 6 : 5 , find their ages​

Answer 1

Answer:

ANSWER THAT QUESTION MARK AS BRAND

Answer 2

$\huge\bf{\underline{\purple{Solution:-}}}$

Let the age of x be 6a.

$\bullet\;\;\underline{\textbf{\textsf{Then:-}}}$

The age of y be 5a.

$\bf\underline{\red{\:\:\:\:\:\:\:\:A.T.Q:-\:\:\:\:\:\:\:}}$

$\bullet\;\;{\textbf{\textsf{6a + 5a = 55}}}$

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$\longrightarrow \sf {11a = 15}$

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$\longrightarrow \sf {a = \cancel\dfrac{55}{11}}$

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$\longrightarrow{\underline{\boxed{\sf{a = 5}}}}$

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$\sf\underline{\purple{\:\:\: Verification:-\:\:\:}}$

$\bullet\;\;{\textbf{\textsf{30 + 25 = 55}}}$

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$\longrightarrow \sf {55 = 55}$

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• L.H.S = R.H.S

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$\bullet\;\;\underline{\textbf{\textsf{Therefore:-}}}$

• Age of x = 6 × 5 = 30
• Age of y = 5 × 5 = 25

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